18 citations · 60 across the 5 of their papers we have counts for
8 papers
Introductory computations in the cohomology of arithmetic groups
Graham Ellis
This paper describes an approach to computer aided calculations in the cohomology of arithmetic groups. It complements existing literature on the topic by emphasizing homotopies an…
Cohomology with local coefficients and knotted manifolds
Graham Ellis, Kelvin Killeen
We show how the classical notions of cohomology with local coefficients, CW-complex, covering space, homeomorphism equivalence, simple homotopy equivalence, tubular neighbourhood,…
Fundamental Group Algorithm for low dimensional tessellated CW complexes
P. Brendel, G. Ellis, M. Juda +1
We present a detailed description of a fundamental group algorithm based on Forman's combinatorial version of Morse theory. We use this algorithm in a classification problem of pri…
On the integral homology of PSL4(Z) and other arithmetic groups
Mathieu Dutour Sikiric, Graham Ellis, Achill Schuermann
We determine the integral homology of PSL4(Z) in degrees at most 5 and determine its p-part in higher degrees for the primes p>=5. Our method applies to other arithmetic groups; as…
Persistent homology of groups
Graham Ellis, Simon A. King
We introduce and investigate notions of persistent homology for p-groups and for coclass trees of p-groups. Using computer techniques we show that persistent homology provides fair…
The Mod-2 Cohomology Ring of the Third Conway Group is Cohen-Macaulay
Simon A. King, David J. Green, Graham Ellis
By explicit machine computation we obtain the mod-2 cohomology ring of the third Conway group Co_3. It is Cohen-Macaulay, has dimension 4, and is detected on the maximal elementary…